{"id":35229,"date":"2025-06-24T08:29:53","date_gmt":"2025-06-24T08:29:53","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=35229"},"modified":"2025-06-24T08:29:56","modified_gmt":"2025-06-24T08:29:56","slug":"5-2-6-2-3-6-in-simplest-form","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/5-2-6-2-3-6-in-simplest-form\/","title":{"rendered":"5 2\/6 &#8211; 2 3\/6 in simplest form"},"content":{"rendered":"\n<p>5 2\/6 &#8211; 2 3\/6 in simplest form<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Answer:<\/strong><\/p>\n\n\n\n<p>526\u2212236=2565 \\dfrac{2}{6} &#8211; 2 \\dfrac{3}{6} = 2 \\dfrac{5}{6}562\u200b\u2212263\u200b=265\u200b<\/p>\n\n\n\n<p><strong>Simplified Explanation :<\/strong><\/p>\n\n\n\n<p>To solve the problem 526\u22122365 \\dfrac{2}{6} &#8211; 2 \\dfrac{3}{6}562\u200b\u2212263\u200b, we follow a step-by-step process to subtract mixed numbers.<\/p>\n\n\n\n<p>First, we break down both mixed numbers into their whole number and fractional parts:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>526=5+265 \\dfrac{2}{6} = 5 + \\dfrac{2}{6}562\u200b=5+62\u200b<\/li>\n\n\n\n<li>236=2+362 \\dfrac{3}{6} = 2 + \\dfrac{3}{6}263\u200b=2+63\u200b<\/li>\n<\/ul>\n\n\n\n<p>Now subtract the whole numbers and the fractions separately:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Whole numbers: 5\u22122=35 &#8211; 2 = 35\u22122=3<\/li>\n\n\n\n<li>Fractions: 26\u221236=\u221216\\dfrac{2}{6} &#8211; \\dfrac{3}{6} = -\\dfrac{1}{6}62\u200b\u221263\u200b=\u221261\u200b<\/li>\n<\/ul>\n\n\n\n<p>Here, we notice that we are subtracting a larger fraction from a smaller one, which results in a negative fraction. We cannot leave the answer as a combination of a positive whole number and a negative fraction. Instead, we adjust the whole number portion to account for the negative fraction.<\/p>\n\n\n\n<p>To fix this, we borrow 1 from the whole number part:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Take 1 from 3, which becomes 2.<\/li>\n\n\n\n<li>Convert the 1 we borrowed into sixths, which is 66\\dfrac{6}{6}66\u200b.<\/li>\n\n\n\n<li>Add that to the fraction: 66\u221216=56\\dfrac{6}{6} &#8211; \\dfrac{1}{6} = \\dfrac{5}{6}66\u200b\u221261\u200b=65\u200b<\/li>\n<\/ul>\n\n\n\n<p>So now we have:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Whole number: 2<\/li>\n\n\n\n<li>Fraction: 56\\dfrac{5}{6}65\u200b<\/li>\n<\/ul>\n\n\n\n<p>Final answer: 2562 \\dfrac{5}{6}265\u200b<\/p>\n\n\n\n<p>We should also simplify if possible. The fraction 56\\dfrac{5}{6}65\u200b is already in simplest form since 5 and 6 have no common factors other than 1. Therefore, the final simplified answer is 256\\boxed{2 \\dfrac{5}{6}}265\u200b\u200b.<\/p>\n\n\n\n<p>This method ensures accuracy and helps maintain proper mathematical structure when working with mixed numbers.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-647.jpeg\" alt=\"\" class=\"wp-image-35230\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-647.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-647-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-647-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>5 2\/6 &#8211; 2 3\/6 in simplest form The Correct Answer and Explanation is: Answer: 526\u2212236=2565 \\dfrac{2}{6} &#8211; 2 \\dfrac{3}{6} = 2 \\dfrac{5}{6}562\u200b\u2212263\u200b=265\u200b Simplified Explanation : To solve the problem 526\u22122365 \\dfrac{2}{6} &#8211; 2 \\dfrac{3}{6}562\u200b\u2212263\u200b, we follow a step-by-step process to subtract mixed numbers. First, we break down both mixed numbers into their whole number [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-35229","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35229","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=35229"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35229\/revisions"}],"predecessor-version":[{"id":35231,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35229\/revisions\/35231"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=35229"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=35229"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=35229"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}